Do you think your pulse rate is higher when you are taking a quiz than when you are sitting in a lecture? The data in Table 1 show pulse rates collected from 10 students in a class lecture and then from the same students during a quiz. The data are stored in QuizPulse10. Student 1 2 3 4 5 6 7 8 9 10 Mean Std. Dev. Quiz 75 52 52 80 56 90 76 71 70 66 68.8 12.5 Lecture 73 53 47 88 55 70 61 75 61 78 66.1 12.8 Table 1 Quiz and lecture pulse rates for 10 students Construct a 95% confidence interval for the difference in mean pulse rate between students taking a quiz and sitting in a class lecture.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Quiz vs Lecture Pulse Rates
Do you think your pulse rate is higher when you are taking a quiz than when you are sitting in a lecture? The data in Table 1 show pulse rates collected from 10 students in a class lecture and then from the same students during a quiz. The data are stored in QuizPulse10.
| Student | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | Std. Dev. | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Quiz | 75 | 52 | 52 | 80 | 56 | 90 | 76 | 71 | 70 | 66 | 68.8 | 12.5 |
| Lecture | 73 | 53 | 47 | 88 | 55 | 70 | 61 | 75 | 61 | 78 | 66.1 | 12.8 |
Table 1 Quiz and lecture pulse rates for 10 students
Construct a 95% confidence interval for the difference in mean pulse rate between students taking a quiz and sitting in a class lecture.
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Round your answers to one decimal place.
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